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Finding the Third Proportional to 160,129,666 and 349,621,506

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Solution

The third proportional to 160,129,666 and 349,621,506 is: 763,351,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129,666 : 349,621,506 = 349,621,506 : x
  2. Step 2: Convert to fraction form
    160,129,666/349,621,506 = 349,621,506/x
  3. Step 3: Cross multiply
    160,129,666x = 349,621,506 × 349,621,506
  4. Step 4: Simplify right side
    160,129,666x = 122,235,197,457,708,032
  5. Step 5: Solve for x
    x = 122,235,197,457,708,032/160,129,666
  6. Step 6: Final answer
    x = 763,351,354.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.